期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 325, 期 1, 页码 542-553出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2006.01.087
关键词
existence and uniqueness; predator-prey system; rabies system; fractional-order differential equations; equilibrium points; stability; numerical solution; predictor-corrector method
In this paper we are concerned with the fractional-order predator-prey model and the fractional-order rabies model. Existence and uniqueness of solutions are proved. The stability of equilibrium points are studied. Numerical solutions of these models are given. An example is given where the equilibrium point is a centre for the integer order system but locally asymptotically stable for its fractional-order counterpart. (c) 2006 Elsevier Inc. All rights reserved.
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